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Finding the Third Proportional to 231,642 and 367,091

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Solution

The third proportional to 231,642 and 367,091 is: 581,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,642 : 367,091 = 367,091 : x
  2. Step 2: Convert to fraction form
    231,642/367,091 = 367,091/x
  3. Step 3: Cross multiply
    231,642x = 367,091 × 367,091
  4. Step 4: Simplify right side
    231,642x = 134,755,802,281
  5. Step 5: Solve for x
    x = 134,755,802,281/231,642
  6. Step 6: Final answer
    x = 581,741.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.